Class 12 Mathematics — Relations and Functions Important Questions with Answers (Long answers)
Class 12 Mathematics board is relations-functions, inverse trig, matrices-determinants, calculus (continuity to differential equations), vectors-3D and probability (Bayes, distribution). This hub writes 150+ NCERT-true items. “Integrals class 12 important questions” and “matrices MCQ” are the chips. Twenty questions a page; the key stays closed. No leaked CBSE paper claims.
Reflexive, symmetric, transitive, equivalence, and invertibility of a function. A bijection is the inverse ticket. Composition (fog)(x) needs range-domain fit. Write the proof in the three-line school format when the question says “show that”. You are on Relations and Functions (Long answers), page 1 of 1 — 2 questions in this filter. Long answers model a five-mark write-up: definition, reason, one diagram or equation idea, and a closing line. Do not copy the whole block in the exam; steal the order. This view is for the night before a unit test. Phone layout: chapter chips scroll sideways, answers stay inside a tap, and the next page is a numbered link so Google and students both get a short URL. Updated for 2026 classroom practice on the rationalized NCERT.
Relations and Functions पर एक 4-अंक का हल लिखें जिसमें जाँच भी हो।
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दिया: संख्याएँ 19, 4।
विधि: अध्याय Relations and Functions का नियम लागू करें।
गणना: योग 23, गुणन 76।
जाँच: उलटा संक्रिया या प्रतिस्थापन।
अंत: शब्द-समस्या में वाक्य में उत्तर लिखें।
Q.13LongRelations and Functions
Class 12 Mathematics — Relations and Functions पर एक unit-test उत्तर लिखें (परिचय, 4 बिंदु, निष्कर्ष)।
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Reflexive, symmetric, transitive, equivalence, and invertibility of a function. A bijection is the inverse ticket. Composition (fog)(x) needs range-domain fit. Write the proof in the three-line school format when the question says “show that”.
चार बिंदु: (1) NCERT परिभाषा/सूत्र/घटना। (2) एक उदाहरण या आरेख-विचार। (3) एक तुलना या कारण। (4) एक साधारण संख्यात्मक या उद्धरण यदि पाठ माँगता है।
निष्कर्ष: उत्तर अध्याय-सत्य रखें — बोर्ड की डेटशीट यहाँ नहीं गढ़ी गई।
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Class 12 Mathematics में कितने प्रश्न हैं? 169 महत्वपूर्ण प्रश्न: 104 MCQ, 39 लघु, 26 दीर्घ। NCERT गणित के rationalized अध्याय।
उत्तर कहाँ हैं? हर प्रश्न के नीचे View the correct answer दबाएँ। पहले स्वयं लिखें, फिर मिलाएँ। MCQ में सही विकल्प और एक पंक्ति की व्याख्या है।
पेज क्यों बँटे हैं? एक स्क्रीन पर 20 प्रश्न। बाकी Page 2, 3 पर — फोन पर स्क्रॉल छोटा रहता है। यह पेज 1/1 है।
Relations and Functions क्यों महत्वपूर्ण है? Reflexive, symmetric, transitive, equivalence, and invertibility of a function. A bijection is the inverse ticket. Composition (fog)(x) needs range-domain fit. Write the proof in the three-line school format when the que…